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PHYS 1101: University Physics II (winter)

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<strong>PHYS</strong> <strong>1101</strong>: <strong>University</strong> <strong>Physics</strong> <strong>II</strong> (<strong>winter</strong>)<br />

Calendar description: This calculus-based physics course is a continuation of<br />

<strong>PHYS</strong> 1100.1(.2), and covers the topics of oscillations and waves, thermodynamics,<br />

and electricity and magnetism.<br />

Classes 3 hrs. and lab/tutorial 3 hrs. per week; 1 semester.<br />

Note: Credit cannot be given to students who have already taken PHY 205.0 or<br />

221.0<br />

Contents<br />

Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1<br />

Prerequisites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2<br />

Dependent courses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2<br />

Student outcomes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3<br />

Curriculum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4<br />

Suggested Texts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6<br />

Notes to the Instructor . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6<br />

Overview<br />

This course is a continuation of <strong>University</strong> <strong>Physics</strong> I, carrying on with three weeks on waves<br />

and oscillations, three weeks on thermodynamics (the first two laws and an introduction to<br />

the kinetic theory of gases), and six weeks of electricity and magnetism. The E&M unit<br />

will probably be the first time in both <strong>PHYS</strong> 1100 and this course where students encounter<br />

ideas they have never seen before, such as the Lorentz Force, Gauss’ law, and Maxwell’s<br />

Equations in integral form.<br />

The lab portion of this course is described separately at <strong>PHYS</strong> <strong>1101</strong>L. The instructors of<br />

the lab portion enjoy some autonomy in how the lab is conducted, but it is the instructor of<br />

the lecture portion of the course, hereafter the “lecturer”, who is responsible for the overall<br />

course, assigns final grades to the students, and is judged by student evaluations. Therefore,<br />

the lab instructor(s) need to consult with the lecturer in how the lab is conducted, and where<br />

there is disagreement the view of the lecturer shall prevail.


2 <strong>Physics</strong> <strong>1101</strong><br />

Prerequisites<br />

<strong>PHYS</strong> 1100 <strong>University</strong> <strong>Physics</strong> I<br />

<strong>PHYS</strong> <strong>1101</strong> depends on this course weakly, as the topics in <strong>1101</strong> (oscillations, waves,<br />

thermodynamics, and E&M) can all, in principle, be taught independently of a course<br />

in mechanics. However, the terms and nomenclature, problem solving skills, and level of<br />

sophistication students gain from <strong>PHYS</strong> 1100 are what make it possible for the instructor<br />

to cover all the material of this course in one term.<br />

MATH 1210 Introductory Calculus I<br />

Students completing MATH 1210 can do any kind of differentiation this course requires.<br />

Students should also be taking MATH 1211 at the same time as this course, and by week<br />

4 when the unit on thermodynamics is begun, students have had a good introduction to<br />

integration. However, the E&M unit starting in week 7 requires the use of closed and<br />

open path and surface integrals which are not covered in MATH 1211, and the instructor<br />

should be prepared to explain these kinds of integrals in class (see Note 2 in the section<br />

Notes to the Instructor).<br />

Students who failed MATH 1210 in the first semester or who took MATH 1090 instead of<br />

MATH 1210 because they failed the placement exam, are now just taking MATH 1210 and<br />

integration will be completely foreign to them. Those students who seek help because of this<br />

have a good chance to get through this course; those who don’t invariably drop it.<br />

Dependent courses<br />

ASTR 2100 Foundations of Astrophysics<br />

ASTR 2100 requires the general physics background and problem-solving skills that<br />

<strong>PHYS</strong> 1100 and <strong>PHYS</strong> <strong>1101</strong> provide.<br />

<strong>PHYS</strong> 2300 Vibrations, Waves, and Optics<br />

<strong>PHYS</strong> 2300 builds directly on the unit on oscillations and waves covered in the first three<br />

weeks of <strong>PHYS</strong> <strong>1101</strong>. In addition, <strong>PHYS</strong> 2300 benefits from the general background in<br />

physics and the problem-solving skills provided by both <strong>PHYS</strong> 1100 and <strong>PHYS</strong> <strong>1101</strong>.<br />

<strong>PHYS</strong> 2400 Electricity and Magnetism<br />

<strong>PHYS</strong> 2500 provides the student with a full-course overview of the E&M unit covered<br />

in this course in its last six weeks. While the ideas introduced in <strong>PHYS</strong> 2500 are largely<br />

the same as those seen here, the level of sophistication of the problems is significantly<br />

higher. To be suitably prepared for <strong>PHYS</strong> 2500, this course should expose students to all<br />

Maxwell’s equations in integral form, including a discussion of the displacement current


<strong>University</strong> <strong>Physics</strong> <strong>II</strong> 3<br />

and the magnetisation of matter.<br />

<strong>PHYS</strong> 3350 Thermal <strong>Physics</strong> (indirectly)<br />

Since <strong>PHYS</strong> 3350 is cycled with <strong>PHYS</strong> 3400 (Electrodynamics), it is possible students<br />

won’t take <strong>PHYS</strong> 3400 until the last semester of their fourth year. Yet, <strong>PHYS</strong> 3400 is<br />

the first time they see thermodynamics formally since the three-week unit given in this<br />

course. Thus, a solid foundation in the first and second laws are critical, as are the ideas<br />

of phase-space (P-V, T-S) diagrams, state variables, and the kinetic theory of gases. All<br />

of these ideas will be revisited and developed further in the first half of <strong>PHYS</strong> 3400, with<br />

the second half devoted to Statistical Mechanics.<br />

Student Outcomes<br />

The development of sound, systematic problem-solving skills is paramount, and will serve<br />

both our students and freshmen engineers (the vast majority of the class) well in any future<br />

physics classes they take.<br />

Students completing <strong>PHYS</strong> <strong>1101</strong> should begin to develop the following skills:<br />

1. gain a competency in units and unit conversions<br />

2. accept different notation conventions<br />

3. develop a systematic and consistent approach to problem solving (e.g., p-V diagrams,<br />

Gaussian surfaces), and learn to translate word problems into mathematical equations.<br />

Many students will cling to their “rules of thumb” and simplistic approaches learned in<br />

high school that don’t work for the more complex problems encountered in this course,<br />

particularly in the E&M unit.<br />

4. be able to visualise a problem and use diagrams effectively<br />

5. apply differential calculus to physics problems<br />

6. learn to conceptualise physics and recalibrate their intuition<br />

Typical problems students completing <strong>PHYS</strong> <strong>1101</strong> should be able to solve:<br />

1. From the sinusoidal representation of a wave or oscillation, determine the period, frequency,<br />

wavelength, amplitude, velocity, etc.<br />

2. Find the amount of useful work that can be extracted from a gas in a system executing<br />

a clockwise rectangular loop on a T-S diagram.<br />

3. What is the capacitance of an isolated charged sphere<br />

4. What is the force on a dielectric slab that is only partially between two charged plates<br />

5. How is a “mag-lev train” propelled


4 <strong>Physics</strong> <strong>1101</strong><br />

Curriculum<br />

In parentheses is an approximate number of lectures to spend on each topic.<br />

In square brackets are the names of various demonstrations as they are listed in the department’s<br />

demonstration catalogue that could be used for each major topic.<br />

1. Oscillations and waves (6) [Oscillator sampler; Wave machine; Slinky; Beating; Doppler<br />

ball]<br />

- SHM, pendulum<br />

- transverse and longitudinal waves<br />

- describing a wave as a sine function<br />

- sound waves<br />

2. Temperature and Heat (2)<br />

- thermal expansion<br />

- heat absorption and conduction<br />

- First Law of Thermodynamics<br />

3. Kinetic Theory of gases (2)<br />

- ideal gas law<br />

- pressure, mean free path<br />

- degrees of freedom, specific heats (C V , C p )<br />

- p-V diagrams<br />

4. Entropy (2) [Entropy be-damned!—the biggest wow of the year]<br />

- state variables, and entropy<br />

- Second Law of Thermodynamics<br />

- p-T, T-S, S-V diagrams<br />

- Carnot cycles (engines and refrigerators)<br />

- state variables along isobars, isotherms, isochors, and isentrops<br />

5. Electric fields (1) [Pith ball; Wimshurst machine (someone will stick their tongue in it<br />

for the class); Tesla coil with discharge tubes (no tongues here!)]<br />

- Coulomb’s law<br />

- the concept of a field<br />

- fields due to line and disc charges<br />

6. Gauss’ law (2)


<strong>University</strong> <strong>Physics</strong> <strong>II</strong> 5<br />

- electric flux through closed and open surfaces (integrals)<br />

- point, line, and sheet charges<br />

7. Potential (2)<br />

- electric potential of point, line, and sheet charges<br />

- dipole, charged isolated conductor<br />

- dielectrics and capacitance<br />

8. Circuits (1) [Circuits in parallel and series]<br />

- current, resistance, and resistivity<br />

- Ohm’s Law<br />

- Kirchhoff’s Rules as a restatement of conservation of energy and charge<br />

- resistors in parallel and series<br />

- simple circuits (and ”monster” circuits; e.g., question 6, p 653, HRW Ed. 6)<br />

9. Magnetic fields (3) [Lorentz force: CRT; Lorentz force: Current; Induced ⃗ B in a<br />

solenoid]<br />

- Lorentz forces (another example of the cross product)<br />

- Hall effect<br />

- Biot and Savart (an apparent “violation” of Newton’s 3rd Law)<br />

- magnetic force on a current-carrying wire<br />

- magnetic dipole<br />

- Ampere’s law<br />

- solenoids and toroids<br />

10. Induction (2) [Induction: Solenoid; Induction: Eddy currents]<br />

- Lenz’ and Faraday’s law<br />

- induced and non-conservative electric fields, eddy currents<br />

11. Maxwell’s equations (1)<br />

- no magnetic charges<br />

- induced magnetic fields<br />

- displacement current<br />

- summary of Gauss’ Laws, Faraday’s Law, and Ampere-Maxwell Law, all in integral<br />

form


6 <strong>Physics</strong> <strong>1101</strong><br />

Suggested texts<br />

The text used for this course should be the same as the text used for <strong>PHYS</strong> 1100.<br />

Notes to the instructor<br />

1. <strong>PHYS</strong> 1100 and <strong>PHYS</strong> <strong>1101</strong> serve two primary purposes:<br />

- foundation courses for (astro)physics majors;<br />

- service courses for chemistry and the engineering programme.<br />

These two purposes are often at loggerheads—the level needed by our potential majors<br />

is often higher than that needed by the engineers.<br />

Historically, these courses have been taught at a level neither higher nor lower than<br />

necessary to provide a thorough treatment of Halliday, Resnick and Walker, where any<br />

and all problems in that text are fair game for assignments and, to a lesser extent,<br />

exams. In practise, this has meant teaching to the B/B+ students.<br />

2. Integration seen in MATH 1211 is strictly 1-D. The integration in the thermodynamics<br />

unit is really path integration but is well-disguised as ordinary 1-D integrals (and<br />

students need not be the wiser). On the other hand, the integrals in the E&M unit<br />

are bona fide open and closed surface and path integrals, and it is difficult to disguise<br />

them as anything else. The instructor should be prepared to spend the equivalent of<br />

half a lecture in aggregate over the course of two or three classes explaining what these<br />

kinds of integrals actually mean, and how they differ from ordinary 1-D integrals.<br />

3. Demonstrations in this class are even more important than in the preceding course<br />

<strong>PHYS</strong> 1100, particularly in the E&M unit where students are exposed to what may be<br />

the first new ideas to them since the beginning of <strong>PHYS</strong> 1100. Some of the phenomena<br />

in E&M are quite unbelievable until seen (e.g., the Lorentz force, Eddy currents, the<br />

generation of current in a solenoid by inserting a permanent magnet), and students<br />

will have almost no intuition upon which to rely.<br />

4. Instructors for the three first-year courses [<strong>PHYS</strong> 1100 (<strong>University</strong> <strong>Physics</strong> I), this, and<br />

<strong>PHYS</strong> 1500 (Introduction to Modern <strong>Physics</strong>)] are strongly urged to discuss and agree<br />

upon a mutually suitable text in time for ordering texts for the fall.<br />

5. The portion of course grade assigned to the laboratory portion (<strong>PHYS</strong> <strong>1101</strong>L) should<br />

be between 20% and 30%.<br />

6. It has been this department’s policy that students repeating this course may be exempt<br />

from repeating the laboratory portion if :<br />

- the grade attained in the lab portion in the previous attempt of the course was a<br />

C− or better;


<strong>University</strong> <strong>Physics</strong> <strong>II</strong> 7<br />

- the grade attained in the lab from the previous attempt of the course is used as<br />

the lab grade for the current attempt<br />

Students exempted from repeating the lab portion should not, however, be exempted<br />

from repeating the tutorial portion of the course, should tutorials be part of the course.

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